CHARACTER DEFINITIONS AND CHARACTER STATE DELINEATION: THE BETE NOIRE OF PHYLOGENETIC INFERENCE

Abstract— Currently characters are static concepts whose definition and state delineations seldom undergo any scrutiny. Common systematic practice tends to synthesize character slates by combining or dividing observed conditions, a situation most likely due to current theoretical limitations in phylogenetic inference, which tends to ignore problems of multistate characters. This process we refer to as the “synthetic” method for character definition. Character definitions derived for the genera of North American Cochylini (Lepidoptera: Tortricidae) using “synthetic” character states postulated that the cochylines were not monophyletic. The use of cladogram characters and nearest neighbor matrices in uncovering potential flaws in character state delineation is demonstrated. The “synthetic” set of character definitions proved deficient upon such analysis, principally due to its attempt to force highly variable features into a few states. The set of character definitions produced from this analysis is referred to as “reflective” because it does not ignore observed variation. It produces characters with many states and presents problems of setting up transformation series. Three means lor deriving transformations are applied to produce transformation series for the reflective set of character definitions: the unordered outgroup method, morphocline analysis and Transformation Series Analysis (TSA). All three data sets postulated the Cochylini as monophyletic. The three sets of phylogenies were compared. Consensus trees are ambiguous when analysing changes in hierarchy. In order to summarize these results in a manner which does not destroy the phylogenetic structure, positional subtrees, a new means for summarizing multiple solution cladograms, are introduced. It was found that all three sets of transformations produced very different cladograms which in turn were very different from the tree produced by the original, synthetic definitions. The results of each of these methods were assessed for their internal consistency. TSA gave the least contradictory results.     

A COMPUTER ASSISTED ANALYSIS OF THE RELATIONSHIPS OF THE HIGHER CATEGORIES OF TURTLES

Abstract— A character matrix of 39 characters for 14 supregeneric categories of living and extinct turtles was examined using PAUP 2.41 and 3.0L. The Branch and Bound algorithm found a single most parsimonious cladogram of 55 steps, consistency index of 0.709, retention index of 0.848 and a rescaled consistency index of 0.601. The cladogram is identical to that proposed by Gaffney and Meylan (1988). The Pleurodira and Cryptodira are each shown to be monophyletic and are supported by synapomorphies involving complex structures of the basicranium and adductor musculature. These synapomorphies are judged to be relatively well-tested homologies. A paraphyletic Cryptodira occurs in 18% of 38 equally parsimonious trees 57 steps in length, but these trees are based on characters, such as absence of pterygoid teeth, that are susceptible to homoplasy in amniotes. We re-iterate the notion that it is better to choose fewer, well-analysed characters than large numbers of poorly analysed characters.     

THE EFFECT OF ORDERED CHARACTERS ON PHYLOGENETIC RECONSTRUCTION

Abstract Morphological structures are likely to undergo more than a single change during the course of evolution. As a result, multistate characters are common in systematic studies and must be dealt with. Particularly interesting is the question of whether or not multistate characters should be treated as ordered (additive) or unordered (non-additive). In accepting a particular hypothesis of order, numerous others are necessarily rejected. We review some of the criteria often used to order character states and the underlying assumptions inherent in these criteria.
The effects that ordered multistate characters can have on phylogenetic reconstruction are examined using 27 data sets. It has been suggested that hypotheses of character state order are more informative then hypotheses of unorder and may restrict the number of equally parsimonious trees as well as increase tree resolution. Our results indicate that ordered characters can produce more, equal or less equally parsimonious trees and can increase, decrease or have no effect on tree resolution. The effect on tree resolution can be a simple gain in resolution or a dramatic change in sister-taxa relationships. In cases where several outgroups are included in the data matrix, hypotheses of order can change character polarities by altering outgroup topology. Ordered characters result in a different topology from unordered characters only when the hierarchy of the cladogram disagrees with the investigator's a priori hypothesis of order. If the best criterion for assessing character evolution is congruence with other characters, the practice of ordering multistate characters is inappropriate.     

Rooting with Multiple Outgroups: Consensus Versus Parsimony

Using outgroup(s) is the most frequent method to root trees. Rooting through unconstrained simultaneous analysis of several outgroups is a favoured option because it serves as a test of the supposed monophyly of the ingroup. When contradiction occurs among the characters of the outgroups, the branching pattern of basal nodes of the rooted tree is dependent on the order of the outgroups listed in the data matrix, that is, on the prime outgroup (even in the case of exhaustive search). Different equally parsimonious rooted trees (=cladograms) can be obtained by permutation of prime outgroups. An alternative to a common implicit practice (select one outgroup to orientate the tree) is that the accepted cladogram is the strict consensus of the different equally parsimonious rooted trees. The consensus tree is less parsimonious but is not hampered with extra assumption such as the choice of one outgroup (or more) among the initial number of outgroup terminals. It also does not show sister-group relations that are ambiguously resolved or not resolved at all.     

POLYMORPHIC TAXA, MISSING VALUES AND CLADISTIC ANALYSIS

Abstract Missing values have been used in cladistic analyses when data are unavailable, inapplicable or sometimes when character states are variable within terminal taxa. The practice of scoring taxa as having "missing values" for polymorphic characters introduces errors into the calculation of cladogram lengths and consistency indices because some character change is hidden within terminals. Because these hidden character steps are not counted, the set of most parsimonious cladograms may differ from those that would be found if polymorphic taxa had been broken into monomorphic subunits. In some cases, the trees found when polymorphisms are scored as missing values may not include any of the most parsimonious trees found when the data are scored properly. Additionally, in some cases, polymorphic taxa may be found to be polyphyletic when broken into monomorphic subunits; this is undetected when polymorphisms are treated as missing. Because of these problems, terminal units in cladistic analysis should be based on unique, fixed combinations of characters. Polymorphic taxa should be subdivided into subunits that are monomorphic for each character used in the analysis. Disregarding errors in topology, the additional hidden steps in a cladogram in which polymorphisms are scored as missing can be calculated by a simple formula, based on the observation that if it is assumed that polymorphic terminals include all combinations of character states, 2 ^p − 1 additional steps are required for each taxon in which p polymorphic binary characters are scored as missing values. Thus, when several polymorphisms are scored as missing in the same taxon, very large errors can be introduced into the calculation of tree length.     

Parsimony with and without Scientific Justification

Brower's (2000, Cladistics 16, 143–154) pursuit of a nonevolutionary cladistics, like those of others (e.g., Scotland, 2000, Syst. Biol. 49, 480–500), fails for lack of a scientific justification. His operational explication of parsimony does not necessarily rule out the use of other criteria on which to base the identification of a hierarchical branching pattern, nor does he give a compelling reason for why just that one kind of pattern is sought. In the absence of evolutionary theory, such as the descent of species, and the modification of character states, one from another, there is no scientific reason to seek congruence among character hierarchies whose origins, functions, and fates are not necessarily the same. Brower's operational parsimony is no substitute for phylogenetic parsimony, where requirements for ad hoc hypotheses of homoplasy are justifiably minimized, assuming only "descent, with modification." In addition to maximizing explanatory power, that most parsimonious cladogram is the least disconfirmed, most highly corroborated, hypothesis.     

RECONSTRUCTING CHARACTER EVOLUTION ON POLYTOMOUS CLADOGRAMS

Abstract— Algorithms to reconstruct character evolution on polytomous cladograms or phylogenetic trees have to date interpreted each polytomy literally, as if it were an event of multiple speciation, with multiple daughter species descending independently from a mother species, thus requiring any similarities shared by only some of these daughters to be accounted for by convergence. These algorithms are not appropriate when the polytomy is interpreted in the usual way, namely as representing uncertainty in the cladogram's resolution. New algorithms for both ordered and unordered characters are presented to reconstruct character evolution under the uncertain-resolution interpretation of polytomies. These algorithms allow the cladogram to resolve itself so as to be favourable for the character whose evolution is being reconstructed. Because different characters may have different favourable resolutions, it is not possible in general to use these algorithms to determine the total parsimony of a polytomous cladogram (the number of evolutionary steps required over all characters by the cladogram), for which the only adequate approach is to find a most parsimonious dichotomous resolution of the cladogram.     

EXACT INDICES, CRITERIA TO SELECT FROM MINIMUM LENGTH TREES

Abstract— Modifications of the consistency, retention and rescaled consistency indices are introduced. These apply to particular transformations of a character state rather than all of the transformations of a character. For example, if one observes relatively many losses in a character state over a suite of minimum length trees, a low weight is applied to the transformation to a loss; however, these observations infer nothing on the probability of the character state being gained independently. If the same character state shows few or no convergent gains on the suite of minimum length cladograms, then gains receive a relatively high weight. Conversely, if for a particular character state, convergent gains are common and losses rare, the transformation to a loss is given a higher weight than the transformation to a gain. For multistate characters, each possible transformation is weighted independently. Three indices are proposed, i.e. the exact consistently index, the exact retention index and the exact rescaled consistency index. The consistency index is modified to deal with characters with unknown entries.
The methods outlined not only select (or generate) preferred tree topologies but they also choose character optimizations, even for trees of identical topology.     

Midges and the electronic Ouija board The phylogeny of the Hydrobaenus group (Chironomidae, Diptera) revised

Cranston and Humphries (1988) expose Sæther's (1976) revision of the Hydrobaenus grou of enera (Chironomidae, Ditera) to the vagaries of quantitative phyletics. In the rocess they have clearly shown why at feast their method is not in accordance with the view of Hennig. In the qualitative Hennigian method the parsimony criterion is used when choosing among alternative hypotheses of explanation of single character distribution. The selection and interpretation equals the cladogenetic analysis. In neocladistic methods the parsimony criterion is usel in order to find the tree implying the fewest evolutionary ains and losses with the fewest lines. The explanation of characters enters as an afterthought. The differences between the methods are shown by analyzing a theoretical data matrix as well as by reassessment of the results obtained by Cranston and Humphries. Their data critique is met point by oint, their data matrix, which is to a large extent erroneous, is corrected, and their data reanalyzed using their and alternative outgroups. The tree topologies remain similar to each other as well as to the original qualitative analysis since there is little inside homoplasy but the changes proposed by Cranston and Humphries are shown invalid.     

A cladistic analysis of the nomadine bees (Hymenoptera: Apoidea)

Abstract. This study compares the results of Rozen's cladistic analysis of the larvae of fifteen genera of cleptoparasitic bees in the subfamily Nomadinae with an independent data set of adult characters for the same genera. Adult characters exhibited considerably higher levels of homoplasy and poorer resolution of cladistic relationships, with multiple equally parsimonious cladograms. However, comparison of a Nelson consensus tree based on adult characters with the cladogram based on larval characters reveals three components consistently supported in both analyses (the tribes Epeolini and Ammobatini, and Neopasites + Neolarra) , one component supported only by adult characters (Isepeolus + Protepeolus) , and one terminal component supported only by larval characters (Nomada + Ammobatini), as well as several more inclusive groupings based on larval characters that are difficult to compare with the adult consensus tree because it shows so much less resolution. When adult and larval characters are combined in a single data matrix, the resulting cladogram closely resembles the cladogram based on larval characters alone, although levels of homoplasy are considerably higher than in the larval analysis.
A preliminary analysis of adult characters for thirty-four genera in the Nomadinae also exhibited high levels of homoplasy and very large numbers of equally parsimonious cladograms. Nevertheless, certain consistent monophyletic groupings, most notably the Epeolini and Ammobatini, were also supported in this analysis. The one currently recognized tribe whose monophyly has received no support from any analysis is the Nomadini.
The relevance of these phylogenetic hypotheses to our understanding of host associations and variable features of egg morphology and oviposition behaviour in nomadine bees is briefly discussed.     

EVOLUTIONARY CHARACTER ANALYSIS: TRACING CHARACTER CHANGE ON A CLADOGRAM

Abstract— There has been little formal discussion concerning character analysis in cladistics, even though characters and their character state trees are central to phylogenetic analyses. We refer to this field as Evolutionary Character Analysis. This paper defines the components of evolutionary character analysis: character state trees, transmodal characters, cladogram characters, attribute and character phylogenies; and the use of these components in phylogenetic inference and evolutionary studies. Character state trees and their effect on cladogram construction are discussed. A new method for numerically coding complex character state trees is described that further reduces the number of variables required to describe them. This method, ordinal coding, reduces the size of data matrices, and facilitates retrieval of state codes. This paper advocates the use of both biological evidence and evidence internal to the cladogram itself to construct character state trees (CSTs). We discuss general models of character evolution (morphocline analysis, Fitch minimum mutation model, etc.) and their role in forming CSTs. Character state trees formed with theories of character evolution are referred to as transmodal characters. These transmodal characters are contrasted with cladogram characters (Mickevich, 1982), and the place of each in a phylogenetic analysis is discussed. The method for determining cladogram characters is detailed with more complicated examples than found in previous publications. We advocate testing transmodal characters by comparing them with the resultant cladogram characters. This comparison involves transformation series analysis (TSA; Mickevich, 1982) which is viewed as an extension of reciprocal illumination. The TSA procedure and its place in hypothesis testing are reviewed. Tracing the evolution of characters interests both systematists and non-systematists alike. When character state trees (transmodal characters) are optimized on pre-existing phylogenies, character phylogenies and attribute phylogenies result. Attributes are defined as a feature that may or may not be homologous (i.e., ecological categories, plant hosts, etc.). We provide two illustrations of this approach, one involving the evolution of the anuran ear and another involving the coevolution of the butterfly Heliconius and its hostplants. Finally, the components of phylogenetic character analysis can be used to test more general evolutionary theories such as the biogenetic law and vicariance biogeography.     

MAJOR CLADES OF THE ANGIOSPERMS

Abstract— Our knowledge of fundamental angiosperm interrelationships is still very incomplete. The absence of a narrowly circumscribed gymnosperm outgroup, ideally the sister group, makes character evaluation, necessary for a cladistic analysis, difficult. According to current views the superorder Magnoliiflorae with a number of other groups, for example the monocotyledons, may represent a complex of families near the base of the angiosperms. Interrelationships of groups within the monocotyledons are much better understood than those between groups within the dicotyledons. A cladogram of monocotyledon orders based on earlier work by R. Dahlgren, H. T. Clifford, and F. N. Rasmussen is presented. A data matrix for a sample of the angiosperms with 61 characters for 49 taxa, mostly magnoliifloran and related families, is presented. The characters are polarized mainly according to the current view that the primitive angiosperm morphotype is a woody dicotyledon with strobiloid flowers. As an alternative the matrix is adjusted following W. C. Burger's conjecture that the primitive angiosperm was a herbaceous monocotyledon with trimerous flowers. Both matrices were run in a computerized parsimony analysis, resulting in numerous equally parsimonious solutions. This result is illustrative of the great homoplasy in the available character information, and also of how little actually is known about fundamental angiosperm interrelationships or phylogeny.     

THE PHYLOGENY OFLECANACTIS(OPEGRAPHACEAE)

The genusLecanactis, with 24 species, has been phylogenetically analysed using cladistic parsimony methods and support tests. Morphological, anatomical and chemical data were used, comprising 38 characters. Twelve equally most parsimonious trees were obtained. The successive approximations character weighting method gave one most parsimonious tree. The ingroup,Lecanactis, is supported as monophyletic. Although parsimony jackknifing and Bremer support indicate that the trees are poorly supported, some groups are wholly or partly distinguished in both the strict consensus tree, the successive weighting tree and the Jac tree.     

SYSTEMATICS AND BIOGEOGRAPHY OF THE AUSTRALIAN "GREEN ASH" EUCALYPTS (MONOCALYPTUS)

Abstract— A cladistic analysis of the "green ash" eucalypts, informal subgenus " Monocalyptus ", is presented- As a first step, ordination methods of principal coordinates analysis and multidimensional scaling delineated some terminal taxa. The cladistic analysis, applying parsimony methods to the unweighted data set, yielded 25 equally parsimonious trees, each with a consistency index of 0.57.
Farris' successive approximations approach to character weighting produced one tree with a consistency index of 0.74.
An informal classification of the group, superseries Eucalyptus , is based on that cladogram. The biogeographic history of superseries Eucalyptus is interpreted from the cladogram as having been caused by lour vicariant events in southeastern Australia, in combination with a suite of ecological features that overlie the biogeographic area-pattern.     

Phylogenetic analysis of the Amphitritinae (Polycnaeta: Terebellidae)

The phylogenetic relationships of the Amphitritinae (Polychaeta: Terebellidae) were studied using parsimony analysis of 22 external morphological characters. To choose outgroups to polarize the characters, I carried out a preliminary analysis of the relationships of the four terebellid subfamilies and the Trichobranchidae. The single most parsimonious tree from the analysis supports monophyly of the Terebellidae by the presence of ventral glandular shields. However, this character is homoplasious within the Terebellomorpha, and further evaluation of the Terebellidae is recommended. Artacama and Thelepus were chosen as outgroups for the analysis of amphitritine genera. The generic level analysis yielded seven equally parsimonious trees, which are consistent in their topologies except for the relationships among seven genera in one large clade. In all trees, Artacama is the sister taxon to a large clade within the Amphitritinae; the Artacaminae is therefore synonymized with the Amphitritinae, which is diagnosed by the presence of double rows of uncini. Within the Amphitritinae, the status of several monotypic genera is questioned; plesiomorphic character states indicated by the analysis are discussed. The results presented are offered as working hypotheses of the relationships among amphitritine genera. The large number of homoplasies indicated by the analysis emphasizes the need to further evaluate these hypotheses using additional characters. With a robust phylogenetic hypothesis of amphitritine relationships, a re-classification of the group based on apomorphic character states can be undertaken, and questions regarding the evolution of morphological characters, reproductive modes, or biogeographical patterns can be properly addressed.     

North American freshwater ancyrocephalids (Monogenea) with articulating haptoral bars: phylogeny reconstruction

A phylogenetic (cladistic) analysis was conducted for 15 ancyrocephalid (Monogenea) species parasitizing North American freshwater fishes. The analysis was based on 10 (four binary and six multistate) characters. Vaginal characters were not included due to insufficient data. The resultant, most parsimonious cladogram was 38 steps long with a consistency index of 0.921: reduced consistency was attributed to two cases of homoplasy and one reversal. Three unresolved polychotomies were observed. Three clades were recognized: clade 1 — Actinocleidus species; clade 2 — Anchoradiscoides, Anchoradiscus, Clavunculus species and Syncleithrium; and clade 3 — Crinicleidus species. The protocol for and implications of character identification and polarisation and the establishment of transformation series were discussed.     

A Review of Current Theories and Methods in Cladistics and a Cladistic Study of Twelve Lindera Species in Eastern China

Cladistics has become a widely used method for phylogenetic reconstruction．Because of rapid improvement Of cladistic theories and methodologies,and application of new data,especially,molecular data,it is becoming realistic to reconstruct phylogenies of organisms,and to establish natural classifications based on these phylogenies．This paper reviews some current cladistic theories and methods in a practical way,such as choosing characters,defining character states,polarizing characters,analyzing data matrices, calculating consensus cladograms,choosing among multiple equally most parsimonious cladograms,estimating reliability of cladograms,and applying cladograms to classification, character evolution,and biogeography． Based on 36 morphological characters．a parsimony analysis of 12 species representing six sections in subgenus Lindera and an outgroup species from subgenus lteodaphne of the genus Lindera(Lauraceae)was conducted．The results suggest a close relationship between section Lindera and section Sphaerocarpae,which is different from the previous phylogenetic hypothesis within the genus．In the strict consensus cladogram,two species,L．megaphylla and L.chienii,from section Cupuliformes are in the most primitive and the most advanced clades respectively,indicating that the section is polyphyletic．The cladogram also suggests that section Lindera be a polyphyletic group．     

分支系统学当前的理论和方法概述及华东地区山胡椒属十二个种的分支系统学研究

本文概述了当前分支系统学研究中涉及的主要理论和方法,包括性状的选取、性状状态和极性的确定、数据矩阵的分析计算、结果分支图的处理、分支图可靠性的评价及分支图的应用。本文同时以华东地区樟科山胡椒属Linderal2个种的分支系统学研究为例,讨论了用形态性状进行分支系统学研究中可能遇到的问题,也揭示了一些分支系统学与传统的系统学在应用性状推导进化关系上的不同点。对这12个种的分支系统学研究得出了一些不同于传统系统学方法所推测的山胡椒属内的系统发育关系,如分支系统学研究显示山胡椒组和球果组很近缘。在严格一致性分支图上,杯托组的黑壳楠和江浙山胡椒分别位于最原始和最进化的分支,表明这个组是复系类群。分支图也显示山胡椒组可能是复系类群。     

鹅观草属的系统发育分析

根据分支系统学的原理和方法, 对禾本科鹅观草属进行了系统发育分析。鹅观草属传统分类上的18 个系被确定为终端类群, 来自形态学、解剖学、细胞学和孢粉学的23 个性状被选作建立矩阵的依据;雀麦族中的短柄草属作为外类群被用于外部性状的极性识别, 过去分析过的性状资料被用于微观特征的极性判断;采用PAUP 程序对矩阵进行运算, 共获得6 个同等简约的谱系分支图, 其中具最低f-比值的图被选作分支分析的基础。结果表明, 分支图上显示的组、系划分与传统分类的基本一致, 各类群间的演化关系与过去凭借单一证据所作的零散推断也基本吻合。所不同的是半颖组各支类群不是共祖起源, 可能具有复杂的内部组成;在个别系间, 分支图展现的类群位置与宏观分析的存在差异。     

HOMOPLASY AND THE CHOICE AMONG CLADOGRAMS

Abstract Cladistic data are more decisive when the possible trees differ more in tree length. When all the possible dichotomous trees have the same length, no one tree is better supported than the others, and the data are completely undecisive . From a rule for recursively generating undecisive matrices for different numbers of taxa, formulas to calculate consistency, rescaled consistency and retention indices in undecisive matrices are derived. The least decisive matrices are not the matrices with the lowest possible consistency, rescaled consistency or retention indices (on the most parsimonious trees); those statistics do not directly vary with decisiveness. Decisiveness can be measured with a newly proposed statistic, DD = − S )/( − S ) (where S = length of the most parsimonious cladogram, = mean length of all the possible cladograms for the data set and M = observed variation). For any data set, can be calculated exactly with simple formulas; it depends on the types of characters present, and not on their congruence. Despite some recent assertions to the contrary, the consistency index is an appropriate measure of homoplasy (= deviation from hierarchy). The retention index seems more appropriate for comparing the fit of different trees for the same data set.